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Magnetic Reynolds number : ウィキペディア英語版
Magnetic Reynolds number

The Magnetic Reynolds number (Rm) is a dimensionless group that
occurs in magnetohydrodynamics. It gives an estimate of the effects of magnetic advection to magnetic diffusion, and is typically defined by:
: \mathrm_\mathrm = \frac
where
* U is a typical velocity scale of the flow
* L is a typical length scale of the flow
* \eta is the magnetic diffusivity
== General Characteristics for Large and Small Rm ==

For \mathrm_\mathrm \ll 1, advection is relatively unimportant, and so
the magnetic field will tend to relax towards a purely diffusive state, determined by the boundary conditions rather than the flow.
For \mathrm_\mathrm \gg 1, diffusion is relatively unimportant on the length scale ''L''. Flux lines of the magnetic field are then advected with the fluid flow, until such time as gradients are concentrated into regions of short enough length scale that diffusion can balance advection.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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